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Logical Problems Logical Reasoning Questions - Logical Problems Logical Reasoning Quiz Details
Online Test Name |
Logical Problems |
Exam Type |
Multiple Choice Questions |
Category |
Logical Reasoning Quiz |
Number of Questions |
56 Questions |
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Logical Problems Logical Reasoning Questions
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Logical Problems MCQ Quiz Answers with Solutions
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1. Fact 1: Jessica has four children.
Fact 2: Two of the children have blue eyes and two of the children have brown eyes.
Fact 3: Half of the children are girls.
If the first three statements are facts, which of the following statements must also be a fact?
I. At least one girl has blue eyes.
II. Two of the children are boys.
III. The boys have brown eyes.
- A. II only
- B. I and III only
- C. II and III only
- D. None of the statements is a known fact.
Answer: Option A
Explanation:
Since one-half of the four children are girls,
two must be boys. It is not clear which children have blue or brown eyes.
2. Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.
If the first three statements are facts, which of
the following statements must also be a fact?
I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.
- A. I only
- B. II only
- C. I, II, and III
- D. None of the statements is a known fact.
Answer: Option D
Explanation:
All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement IIIābut it doesn't follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.
3. Fact 1: All chickens are birds.
Fact 2: Some chickens are hens.
Fact 3: Female birds lay eggs.
If the first three statements are facts, which of
the following statements must also be a fact?
I. All birds lay eggs.
II. Hens are birds.
III. Some chickens are not hens.
- A. II only
- B. II and III only
- C. I, II, and III
- D. None of the statements is a known fact.
Answer: Option B
Explanation:
The first statement cannot be true because only female birds lay eggs. Statement II is true because hens are chickens and chickens are birds. Statement III is also true because if only some chickens are hens, then some must not be hens.
4. Fact 1: Most stuffed toys are stuffed with
beans.
Fact 2: There are stuffed bears and stuffed
tigers.
Fact 3: Some chairs are stuffed with beans.
If the first three statements are facts, which of
the following statements must also be a fact?
I. Only children's chairs are stuffed with
beans.
II. All stuffed tigers are stuffed with beans.
III. Stuffed monkeys are not stuffed with
beans.
- A. I only
- B. II only
- C. II and III only
- D. None of the statements is a known fact.
Answer: Option D
Explanation:
None of the three statements is supported by
the known facts.
5. Fact 1: Pictures can tell a story.
Fact 2: All storybooks have pictures.
Fact 3: Some storybooks have words.
If the first three statements are facts, which of
the following statements must also be a fact?
I. Pictures can tell a story better than
words can.
II. The stories in storybooks are very simple.
III. Some storybooks have both words and
pictures.
- A. I only
- B. II only
- C. III only
- D. None of the statements is a known fact.
Answer: Option C
Explanation:
Statements I and II are not supported by the
facts. Statement III is true because if all storybooks have pictures and only some have words, then some storybooks have both words and pictures.